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142960000 = 27541787
BaseRepresentation
bin10001000010101…
…10010110000000
3100222000010020211
420201112112000
5243044210000
622104043504
73354066001
oct1041262600
9328003224
10142960000
1173773a67
123ba63594
1323805721
1414db51a8
15c83d7ba
hex8856580

142960000 has 80 divisors (see below), whose sum is σ = 356089140. Its totient is φ = 57152000.

The previous prime is 142959967. The next prime is 142960031. The reversal of 142960000 is 69241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79107 + ... + 80893.

Almost surely, 2142960000 is an apocalyptic number.

142960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178044570).

142960000 is an abundant number, since it is smaller than the sum of its proper divisors (213129140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142960000 is an frugal number, since it uses more digits than its factorization.

142960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 142960000 is about 11956.5881421081. The cubic root of 142960000 is about 522.8833903859.

The spelling of 142960000 in words is "one hundred forty-two million, nine hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 1787 2000 2500 3200 3574 4000 5000 7148 8000 8935 10000 14296 16000 17870 20000 28592 35740 40000 44675 57184 71480 80000 89350 114368 142960 178700 223375 228736 285920 357400 446750 571840 714800 893500 1116875 1143680 1429600 1787000 2233750 2859200 3574000 4467500 5718400 7148000 8935000 14296000 17870000 28592000 35740000 71480000 142960000